Least Common Multiple of 5953 and 5959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5953 and 5959 the smallest integer that is 35473927 that is divisible by both numbers.

Least Common Multiple (LCM) of 5953 and 5959 is 35473927.

LCM(5953,5959) = 35473927

LCM of 5953 and 5959

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5953 and 5959

LCM of 5953 and 5959 is 35473927

Least common multiple can be found by multiplying the highest exponent prime factors of 5953 and 5959. First we will calculate the prime factors of 5953 and 5959.

Prime Factorization of 5953


5953 5953
1

Prime factors of 5953 are 5953. Prime factorization of 5953 in exponential form is:

5953 = 59531

Prime Factorization of 5959


59 5959
101 101
1

Prime factors of 5959 are 59,101. Prime factorization of 5959 in exponential form is:

5959 = 591×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5953 and 5959.

LCM(5953,5959) = 591×1011×59531
LCM(5953,5959) = 35473927

Factors of 5953

List of positive integer factors of 5953 that divides 5953 without a remainder.

1, 5953

Factors of 5959

List of positive integer factors of 5959 that divides 5959 without a remainder.

1, 59, 101, 5959

Least Common Multiple of 5953 and 5959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5953 and 5959, than apply into the LCM equation.

GCF(5953,5959) = 1
LCM(5953,5959) = ( 5953 × 5959) / 1
LCM(5953,5959) = 35473927 / 1
LCM(5953,5959) = 35473927

Properties of LCM 5953 and 5959

(i) The LCM of 5959 and 5953 is associative

LCM of 5953 and 5959 = LCM of 5959 and 5953

Related Least Common Multiples of 5953

Related Least Common Multiples of 5959

Frequently Asked Questions on LCM of 5953 and 5959

1. What is the LCM of 5953 and 5959?

Answer: LCM of 5953 and 5959 is 35473927.

2. What are the Factors of 5953?

Answer: Factors of 5953 are 1, 5953. There are 2 integers that are factors of 5953. The greatest factor of 5953 is 5953.

3. What are the Factors of 5959?

Answer: Factors of 5959 are 1, 59, 101, 5959. There are 4 integers that are factors of 5959. The greatest factor of 5959 is 5959.

4. How to Find the LCM of 5953 and 5959?

Answer:

Least Common Multiple of 5953 and 5959 = 35473927

Step 1: Find the prime factorization of 5953

5953 = 5953

Step 2: Find the prime factorization of 5959

5959 = 59 x 101

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 35473927 = 59 x 101 x 5953

Step 4: Therefore, the least common multiple of 5953 and 5959 is 35473927.